Eigenvalue bounds for Dirac and fractional Schr\"odinger operators with complex potentials
Spectral Theory
2020-06-02 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove Lieb-Thirring-type bounds for fractional Schr\"odinger operators and Dirac operators with complex-valued potentials. The main new ingredient is a resolvent bound in Schatten spaces for the unperturbed operator, in the spirit of Frank and Sabin.
Cite
@article{arxiv.1506.07193,
title = {Eigenvalue bounds for Dirac and fractional Schr\"odinger operators with complex potentials},
author = {Jean-Claude Cuenin},
journal= {arXiv preprint arXiv:1506.07193},
year = {2020}
}